In a square, the sum of the lengths of three sides is 45 and in a rectangle the difference between a length and a width is 5 in. if a width of the rectangle is the same as a side of the square, how long is a length of the rectangle?

Square:

We know all sides of a squares are equal in length.

s = the length of one side of the square.

45 = s+s+s

45 = 3s

s=15 inches

Each side of the square is 15 inches.

Rectangle:

length (l) = ?

Width (w) = s = 15 inches

l - w = 5inches

l - (15 inches) = 5 inches

l = 20 inches

Answer:

A length of the rectangle is 20 inches long.